Question

1. Factorise completelty. a) x²-x-132​

Answer 1

`(x - 12)(x +11)`

Explanation:

Hello!

We can factor by grouping. Find two numbers that multiply to -132 and add to -1.

• The two numbers are 11 and -12.
• Expand -x to 12x + 11x
• Factor by grouping

Factor by Grouping

• 
  `x^2 - x - 132`
• 
  `x^2 + 11x - 12x - 132`
• 
  `x(x + 11) - 12(x + 11)`
• 
  `(x - 12)(x +11)`

The factored form is
`(x - 12)(x +11)`.